COMEDK · Physics · 19. Current Electricity

The mobility of the charge carriers increases with

A The average collision time
B Decrease in the charge of the mobile carriers
C Increase in the mass of the charge
D Increase in the electric field

Verified Solution

Answer & Solution

Correct Answer

(A) The average collision time

Step-by-step Solution

Detailed explanation

The mobility \(\mu\) of charge carriers in a conductor is defined as the ratio of the drift velocity \(v_d\) to the applied electric field \(E\). The expression for drift velocity is \(v_d = \dfrac{eE\tau}{m}\), where \(e\) is the charge of the carrier, \(\tau\) is the average…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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